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Curved Exponential Families

2009
Curved exponential families may arise when the parameters of an exponential family satisfy constraints. For these families the minimal sufficient statistic may not be complete, and UMVU estimation may not be possible. Curved exponential families arise naturally with data from sequential experiments, considered in Section 5.2, and Section 5.3 considers ...
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Nonlinear exponential families

1993
The nonlinear regression model $$\begin{array}{*{20}{c}} {y = \eta \left( \vartheta \right) + \varepsilon ;\quad \left( {\vartheta \in \Theta } \right),} \\ {\varepsilon \sim N\left( {0,{{\sigma }^{2}}W} \right)} \\ \end{array}$$ considered in previous chapters, can be presented equivalently as a family of densities $$\left\{ {f(y\left ...
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Information Property of Exponential Families

Theory of Probability & Its Applications, 1986
See the review in Zbl 0582.60022.
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Exponential Families and Game Dynamics

Canadian Journal of Mathematics, 1982
A symmetric game consists of a set of pure strategies indexed by {0, …, n} and a real payoff matrix (aij). When two players choose strategies i and j the payoffs are aij and aji to the i-player and j-player respectively. In classical game theory of Von Neumann and Morgenstern [16] the payoffs are measured in units of utility, i.e., desirability, or in
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Exponential families

2012
Exponential families of distributions are parametric dominated families in which the logarithm of probability densities take a simple bilinear form (bilinear in the parameter and a statistic). As a consequence of that special form, sampling models in those families admit a finite-dimensional sufficient statistic irrespective of the sample size, and ...
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Exponential Families-I

1989
Hung T. Nguyen, Gerald S. Rogers
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Genetic testing in prostate cancer management: Considerations informing primary care

Ca-A Cancer Journal for Clinicians, 2022
Veda N Giri   +2 more
exaly  

A review of family caregiving intervention trials in oncology

Ca-A Cancer Journal for Clinicians, 2017
Betty R Ferrell, Elaine Wittenberg, Fach
exaly  

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